Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Classify each polynomial and determine its degree. the polynomial 3x2 is a with a degree of . the polynomial x2y 3xy2 1 is a with a degree of .

Sagot :

[tex]\rm 3x^2[/tex]  is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex]  is the polynomial of two variables with third-order

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have polynomials:

[tex]\rm 3x^2[/tex]  and

[tex]x^2y+3xy^2+1[/tex]

For [tex]3x^2[/tex]

In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:

This is the polynomial of one variable with second order.

In polynomial,  [tex]x^2y+3xy^2+1[/tex] there are two variables x and y.

The maximum power of x is 3( x has a power of 2 and y has a power of 1)

This is the polynomial of two variables with third order.

Thus, [tex]\rm 3x^2[/tex]  is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex]  is the polynomial of two variables with third-order.

Learn more about Polynomial here:

brainly.com/question/17822016

Answer:

The polynomial 3x2 is a monomial with a degree of 2

The polynomial x2y + 3xy2 + 1 is a trinomial with a degree of 3

Step-by-step explanation:

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.